1067967072 has 48 divisors (see below), whose sum is σ = 3114906480. Its totient is φ = 355988736.

The previous prime is 1067967053. The next prime is 1067967091. The reversal of 1067967072 is 2707697601.

It is an interprime number because it is at equal distance from previous prime (1067967053) and next prime (1067967091).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1067967072² = 2281107333752506368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 617173 + ... + 618900.

It is an arithmetic number, because the mean of its divisors is an integer number (64893885).

Almost surely, 2^1067967072 is an apocalyptic number.

1067967072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1067967072 is an abundant number, since it is smaller than the sum of its proper divisors (2046939408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1067967072 is a wasteful number, since it uses less digits than its factorization.

1067967072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236092 (or 1236078 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 1067967072 is about 32679.7654826347. The cubic root of 1067967072 is about 1022.1609549361.

The spelling of 1067967072 in words is "one billion, sixty-seven million, nine hundred sixty-seven thousand, seventy-two".